Introduction to Topological Manifolds

This book is an introduction to manifolds at the beginning graduate level. It contains the essential topological ideas that are needed for the further study of manifolds, particularly in the context of differential geometry, algebraic topology, and related fields. Its guiding philosophy is to develo...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Lee, John (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2011.
Edición:2nd ed. 2011.
Colección:Graduate Texts in Mathematics, 202
Temas:
Manifolds (Mathematics).
Algebraic topology.
Manifolds and Cell Complexes.
Algebraic Topology.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Preface
  • 1 Introduction
  • 2 Topological Spaces
  • 3 New Spaces from Old
  • 4 Connectedness and Compactness
  • 5 Cell Complexes
  • 6 Compact Surfaces
  • 7 Homotopy and the Fundamental Group
  • 8 The Circle
  • 9 Some Group Theory
  • 10 The Seifert-Van Kampen Theorem
  • 11 Covering Maps
  • 12 Group Actions and Covering Maps
  • 13 Homology
  • Appendix A: Review of Set Theory
  • Appendix B: Review of Metric Spaces
  • Appendix C: Review of Group Theory
  • References
  • Notation Index
  • Subject Index.

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